Add 3√21 + 7√2
To simplify the expression 3√21 + 7√2, we cannot combine the two square root terms since they have different radicands (the numbers inside the square root symbols).
Therefore, the expression 3√21 + 7√2 cannot be simplified further.
i meant 3√21 + 7√21
If the expression is 3√21 + 7√21, we can combine the like terms since they have the same radicand, which is 21.
Thus, 3√21 + 7√21 can be simplified to (3 + 7)√21, which equals 10√21.
√19 + √19
To simplify the expression √19 + √19, we can combine the like terms since they have the same radicand, which is 19.
Thus, √19 + √19 can be simplified to (1 + 1)√19, which equals 2√19.
Add ^3√22 + 3√22 + √22
To combine the terms ^3√22 + 3√22 + √22, we can add the coefficients in front of the like terms.
The coefficients in front of √22 are 1, 3, and 1. Therefore, ^3√22 + 3√22 + √22 equals 1 + 3 + 1 = 5.
Thus, the expression ^3√22 + 3√22 + √22 simplifies to 5√22.
8√23 - √23
To combine the terms 8√23 - √23, we can subtract the coefficients in front of the like terms.
The coefficients in front of √23 are 8 and 1. Therefore, 8√23 - √23 equals 8 - 1 = 7.
Thus, the expression 8√23 - √23 simplifies to 7√23.
To add these two square roots, we need to find any common terms and simplify the expression if possible.
The first step is to identify if there are any common terms in the two square roots. Looking at the expression 3√21 + 7√2, there are no like terms, since √21 and √2 are different.
Therefore, we cannot combine or simplify the square roots any further.
So the final answer is 3√21 + 7√2.